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Domain and Range of Basic Inverse Trigonometric Functions

Find the valu...

Question

Find the value of ${cos}^{- 1} (\frac{13 π}{6})$

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Solution

A] $c o s^{- 1} (c o s \frac{13 π}{6})$
$= c o s^{- 1} (c o s (2 π + \frac{π}{6}))$
$= c o s^{- 1} (c o s \frac{π}{6})$ [as $c o s (2 π + x) = c o s (x)]$
$= \frac{π}{6}$

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